texture and morphology based conductivity analysis of...
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Indian Journal of Engineering & Materials Sciences
Vol. 24, August 2017, pp.261-269
Texture and morphology based conductivity analysis of fuel cell - bipolar plate
using scanning electron microscopic images
M C Pravina*, S Karthikeyan
a, B Sathyabama
b & D Synthiya Vinothini
b
aDepartment of Mechanical Engineering, Thiagarajar College of Engineering Madurai 625 015, India
bDepartment of ECE, Thiagarajar College of Engineering, Madurai 625 015, India
Received 11 May 2016; accepted 17 February 2017
The main objective of this work is to analyze strength and conductivity of the fuel cell bipolar plate using microstructural
analysis. This paper focuses on the structural characterization of fuel cell by texture and morphological analysis of its
composite bipolar plate which is the major component of the proton exchange membrane (PEM) fuel cell stack. The
composite plates were prepared with compression molding technique using activated charcoals and epoxy (araldite) at
various temperatures ranging between 170°C and 190°C with the pressure of 20 bar. Texture and morphological structures
of a composite are directly related with the strength and conductivity of the material. The internal structures of the
composite bipolar plate are acquired using scanning electron microscope (SEM) which provides microstructural information
of the specimen. In this paper, nature of bonding in SEM image is detected using texture and morphological features.
Texture features derived from Gray level co-occurrence matrix (GLCM) and Tamura is used to characterize the arrangement
of molecules and nature of bonding. Gray level co-occurrence matrix (GLCM) and Tamura based approach is used to
calculate texture features. These textural features analyze the internal textures of each samples prepared. Morphological
operations are used to find the area covered by each discontinuous region where the discontinuity affects the bonding and
thus the strength and conduction. The image processing approach analyses the internal structure of the prepared samples and
validates its flexural strength and electrical conductivity performed experimentally. The sample prepared at 190oC and
pressure 20 bar has met the target value defined by the US, Department of Energy (DOE) and has homogeneous internal
structure with less discontinuities and better bonding among the prepared samples.
Keywords: Bipolar plate, Fuel cell, Scanning electron microscope, Gray level co-occurrence matrix, Morphological analysis,
Texture analysis
The composite bipolar plate is a multifunctional
component within the proton exchange membrane
fuel cell (PEMFC) which conducts electric current
from the anode of one cell to the cathode of next cell
and these plates should possess functional properties
like mechanical strength, electrical conductivity, and
thermal conductivity1,2
. These properties directly
depend on its internal structure. Preparation and
analysis of composite bipolar plate plays an important
role in determining the conductivity of the fuel cell1,2
.
Over decades literatures have documented
preparation of bipolar plate using different materials
and processes. Antunes et al.3 states that there is a
strong relationship between the material used in the
manufacturing of bipolar plate and its final properties
moreover structural characteristics such as
morphology and size have decisive influence on its
properties.3 Artyushkova et al.
4 suggested textural
features, based on GLCM, provide measures of
homogeneity, randomness or directionality; inclusion
of morphological characteristics, such as roughness,
texture and shape parameters provide for more
inclusive description and therefore more complete
structure-to-property correlations of corrosion
behavior of carbon blacks.4 Newbury and Titchie
5
proposed that the combination of SEM imaging with
EDS X-ray microanalysis has given the materials
community one of its most powerful microstructural
characterization tool. Kundu et al.6 categorized
scheme of causes, modes and effect related to fuel cell
degradation and failure. In their work a number of
defects like cracks, surface roughness, orientation,
delamination have been observed and mechanism
have been proposed by which these features can lead
to catalyst-coated membrane degradation. Hermann et
al.1 reviewed various types of materials and proposed
for bipolar plates and critically evaluated their
physical and chemical properties. Williams et al.7 in
their work the interfacial area between the B4C and
SiC has been quantified and they showed the effect on
both densification and the resultant microstructure of
the composite. Harris et al.8 considers the
____________
*Corresponding author (E-mail: [email protected])
INDIAN J. ENG. MATER. SCI., AUGUST 2017
262
microstructural characterisation of composite
materials with relatively uniform feature size and
randomly distributed particles of various phases. Kim
et al.9 evaluated the electrical resistance of hybrid
composite plate in which top and bottom layers were
made up of carbon fiber with a graphite liner inside
and used matrix as phenolic resin to adhesively bond
both fibers and graphite. Sulong et al.10
used carbon
nano-tubes along with metal fillers and found that
mechanical properties were enhanced with increased
concentration of polypropylene matrix; hardness
increases with decreased concentration of
polypropylene matrix; electrical properties also
increases with decreased concentration of
polypropylene matrix. Adroja et al.11
evaluated the
mechanical and electrical properties of sandwich
bicomposites epoxy resin. Nedelcu et al.12
studied
microstructure and material properties of injection
molded Arboform parts using Taguchi methodology
with two levels and six input parameters. Du et al.13
focused on the influences of the microstructure on the
physical properties of the thin epoxy/CEG composites
(the thickness is 1 mm) and the optimum preparation
conditions are obtained. It is demonstrated that the
mechanical property and the impermeability of the
composites increases evidently with the resin content
changing from 4% to 30%. Considering the DOE
targets of the bipolar plates, the epoxy (30%)/EG
composite bipolar plate was considered to be the most
suitable candidate for PEMFCs. Hui et al.14
TGA
result shows that the novolac epoxy/NG composite
has excellent thermal stability and the optimum
processing conditions for preparing composite bipolar
plate are resin content about 15% by weight; molding
pressure 200 MPa; curing temperature 180°C. Lee
et al.15
proposed that the bipolar plate for automotive
fuel cells was developed with carbon fiber composite
by compression moulding due to the fact that
carbon/epoxy composite has not only high electrical
and thermal conductivities, but also high specific
stiffness and strength also it states that high-modulus
pitch based carbon fiber reinforced polymer composite
is a very promising material compared with
conventional materials. Hwang et al.16
established a
woven carbon fabric coated with graphite liner using an
epoxy resin as matrix medium here graphite composites
were fabricated by compression moulding. To achieve
desired electric properties, specimens made with
different mixing ratio, processing pressure and
temperature were tested. Sever et al.17
analysed
electrical and mechanical properties of high density
polyethylene and transmission electron microscopy was
used to observe the morphology of the nano-composite.
Kakati et al.18
prepared bipolar plate using compression
molding technique and evaluated electrical conductivity,
flexural strength.
Several types of materials are used for the bipolar
plates, e.g., metal plates, polymer-coated metal plates,
graphites, carbon–carbon composites and graphite–
polymer composites19-21
. The attractive properties of
graphite bipolar plate include excellent corrosion
resistance, high electrical conductivity, and low bulk
resistivity2. However, difficulties to machine flow
fields, low mechanical strength, and brittleness limit
the competency of graphite bipolar plate. Due to the
brittleness of graphite, the bipolar plate needs to have
several mm thicknesses, which make the fuel cell
stack voluminous and bulky. Therefore, researchers
are giving more attention towards the development of
composite bipolar plate. Metal is another competent
material for a bipolar plate, however, it is unable to
resist corrosion in fuel cells14
. As a candidate to fulfill
those requirements for fuel cell bipolar plate, carbon
composite has been developed extensively and reported
to be corrosion resistive14
with good performance in
electrical conduction and mechanical strength18
.
Even though many methods are available to
prepare composite bipolar plates, these methods are
deficient in analyzing the internal structure of the
plate to check its electrical and mechanical properties.
However various non-destructive testing methods like
visual, radiography, acoustic emission, ultrasonic
inspection are available; SEM image processing is a
suitable solution for this analysis. Vision based
analysis has been a fundamental open problem, with
industrial applications, such as automation and
production of quality products but those methods
mainly focused on the surface characteristics and it
fails to analyze the internal characteristics of the
materials. Here SEM image plays a vital role in
analyzing the internal characteristics which can
provide resolution better than 1 nm, so that it can
provide the spatial variations even in microstructures.
The spatial variations are analyzed morphologically to
find the nature of bonding, which is directly related to the
electrical and mechanical properties of the bipolar plate.
Methodology for Structural Characterization
Figure 1 shows the proposed methodology for
structural characterization of composite bipolar plate.
PRAVIN et al.: CONDUCTIVITY ANALYSIS OF FUEL CELL
In this work, activated charcoal with epoxy (araldite)
is prepared using the compression moulding process
with respect to various temperatures at constant
pressure. Flexural test are carried out to examine the
bending strength of the specimen (composite bipola
plate). Four point conductivity test is applied to obtain
its highest electrical conductivity. The microstructural
image of the specimen is obtained from SEM and it is
subjected to texture and morphological analysis.
Image interpretation is done based on
texture indices and morphological features to infer its
internal structural characterization.
Structural characterization
Characterization of a material’s internal structure is
fundamentally significant to examine its property for
Fig. 1 — Methodology for structural characterization
Tensile strength
(MPa)
Compressive
strength(MPa)
3445 1080
Service temperature Up to 190°C
Tensile strength 85 Nmm-2
Tensile modulus 10500 Nmm
Elongation at break 0.8
Flexural strength 112 Nmm
Flexural modulus 10000 Nmm
Compressive strength 90 Nmm-2
Chemical structure
CONDUCTIVITY ANALYSIS OF FUEL CELL - BIPOLAR PLATE
activated charcoal with epoxy (araldite)
is prepared using the compression moulding process
with respect to various temperatures at constant
pressure. Flexural test are carried out to examine the
composite bipolar
). Four point conductivity test is applied to obtain
The microstructural
image of the specimen is obtained from SEM and it is
subjected to texture and morphological analysis.
Image interpretation is done based on the estimated
texture indices and morphological features to infer its
Characterization of a material’s internal structure is
fundamentally significant to examine its property for
scientific understanding of the material. Internal
morphology is one of the most important factors
affecting the property of the material, thus the
functional performance of the bipolar plate composite.
The main reason for good mechanical and electrical
properties of the composites were the good dispersion
and strong interface adhesion of carbon
the entire polymer matrix. These factors var
different temperature, pressure and processing
conditions. This work mainly concentrates on the
characterization of internal structures with respect to
change in temperature. This characterization of
materials is predominantly done by means of non
destructive testing (NDT) methods for its accurate and
reliable internal information. The internal structure
can be interpreted by its textural and morphological
characteristics.
Preparation of composite bipolar plate
Activated charcoal and epoxy (araldit
used in this experiment, since the carbon
composite which is commercially available has a
good resistance towards corrosion, with less weight
yielding sensible electrical conductivity and
mechanical strength at nominal cost. Table 1 sh
the properties of activated charcoal and Table 2 shows
the properties of epoxy resin. .
prepared using the compression molding technique
where content of resin is 30 wt%.
agent is used; activated charcoal was dried at 75°C in
vacuum oven for 10 h to remove the moisture content.
Pre-heating of the resin was done in an oven for half
an hour at 60°C. Epoxy resin and activated charcoal
were mixed in a kneader for 2 h for uniformity. The
mixtures were introduced in an oven at 100°C before
Methodology for structural characterization
Table 1 — Properties of activated charcoal
Density
(gcm-3)
Thermal
expansion
Softening °C Particle size
2.58 5.4 846 50-mesh (0.297 mm)
Table 2 — Properties of epoxy resin
Up to 190°C 2
10500 Nmm-2
112 Nmm-2
10000 Nmm-2
2
BIPOLAR PLATE 263
scientific understanding of the material. Internal
morphology is one of the most important factors
affecting the property of the material, thus the
functional performance of the bipolar plate composite.
The main reason for good mechanical and electrical
properties of the composites were the good dispersion
and strong interface adhesion of carbon-epoxy over
the entire polymer matrix. These factors vary with
different temperature, pressure and processing
conditions. This work mainly concentrates on the
characterization of internal structures with respect to
change in temperature. This characterization of
materials is predominantly done by means of non-
destructive testing (NDT) methods for its accurate and
reliable internal information. The internal structure
can be interpreted by its textural and morphological
Preparation of composite bipolar plate
Activated charcoal and epoxy (araldite GY257) are
used in this experiment, since the carbon-polymer
composite which is commercially available has a
good resistance towards corrosion, with less weight
yielding sensible electrical conductivity and
mechanical strength at nominal cost. Table 1 shows
the properties of activated charcoal and Table 2 shows
Here the composite is
prepared using the compression molding technique
where content of resin is 30 wt%. Aradur 3986 curing
agent is used; activated charcoal was dried at 75°C in
vacuum oven for 10 h to remove the moisture content.
heating of the resin was done in an oven for half
an hour at 60°C. Epoxy resin and activated charcoal
for 2 h for uniformity. The
mixtures were introduced in an oven at 100°C before
Particle size Absorption
area
mesh (0.297 mm) 650 m2/g
INDIAN J. ENG. MATER. SCI., AUGUST 2017
264
pressing process to reduce porosity. The mixtures
(molds) were kept for 8 h in the compression moulding
machine at three different temperatures (170°C, 180°C
and 190°C) with constant pressure (20 bar). Finally, the
specimen �100 × 100 × 3 mm� is post heated in an
oven for 2 h. Figure 2 shows the fabricated specimen
at various temperatures. Acquisition of SEM image
NDT methods that are widely used in characterizing
micro-structures are X-ray diffraction, electron
microscopy (EM) including scanning electron
microscopy (SEM) and transmission electron
microscopy (TEM), and scanning probe microscopy
(SPM). Among these SEM owes its popularity for the
visualization of surfaces, to the diversity of types of
information that it can produce, and to the fact that
images and analytical information can readily be
combined.
The SEM was performed on Hitachi, Japan model
S-3000H instrument. The images were acquired at a
resolution about 3.5 nm in size with magnifications
(× 1000) having specimen size (max. 150 mm
diameter) and accelerating voltage (15 kV). Texture analysis of SEM image
Generally, electrical and mechanical properties of
the composites depends on its bonding structure;
highly bonded structures will have excellent
properties. The textural characteristics examines the
internal bonding nature. Highly bonded structure can
be identified by smooth textures with uniform gray
level distribution or correlated pixels. These uniform
pixels will occur only if there is no interuption in its
structure. The interuptions or discountinuities in its
uniform structure may occur due to voids, pores and
cracks. SEM image provides internal structure of
composite material which can be characterized by
extracting meaningful features like porosity, solidity
and textural descriptors from Haralick and Tamura.
The extracted texture features are given in Table 3.
From the set of available features the most compatible
texture features are selected by trial and error method
based on their usability in our application. The scope
of the selected features is to define the discontinuities
like voids, pores and cracks. In this regard the
following texture features are found to be appropriate.
The GLCM, proposed by Haralick is a tabulation
of how often different combinations of pixel intensity
Fig. 2 — Carbon-epoxy composite bipolar plates (a) bipolar plate samples, (b) microscopic image and (c) SEM image
Table 3 — Extracted texture features
Features Formula
GLCM
Energy
∑∑= =
gl glN
i
N
j
jip1 1
2),(
Contrast
∑∑= =
−gl glN
i
N
j
jipji1 1
2 ),()(
Correlation
yx
i j
yxjipij
σσ
µµ∑∑ −),()(
Homogeneity
),()(1
1
1 12
jipji
gl glN
i
N
j
∑∑= = −+
Tamura
Coarsness
∑ ∑=n
i
n
j
k
crs jipn
f ),(2
2
Contrast
( ) 4/14σµ
σ=conf
Roughness
Compactness 4π. area/ perimeter2
Porosity Pore volume / bulk volume
concrsrgh fff +=
PRAVIN et al.: CONDUCTIVITY ANALYSIS OF FUEL CELL - BIPOLAR PLATE
265
values (gray levels) occur in an image with fourteen
textural features among which energy, correlation and
homogenity remains meaningful descriptors for
analysing the bonding nature. Energy, a statistical
measure also called as uniformity, measures the
textural uniformity that is pixel pair repetitions. It
detects disorders in textures. High energy values
occur when the gray level distribution has a constant
or periodic form. The sample with small number of
pores and voids will have higher energy value.
Correlation measures linear dependency of grey levels
of neighboring pixels, with values of 0 for
uncorrelated and 1 for perfectly correlated pixels.
Homogeneity is a measure of self-similarity, i.e.,
measure of probability that pixels of each region have
the same values. Uniform structures without voids,
pores or cracks tend to have higher homogenity.
Tamura features provides a prominent solution for
human perception of textures at micro-structural level.
Features like coarseness, contrast and roughness have
high potential to distinguish different textures.
Coarseness (Fcrs) relates to distances of notable spatial
variations of grey levels, that is, implicitly, to the size
of the primitive elements (texels) forming the texture.
Contrast (Fcon) measures the way in which gray levels
vary in the image and to what extent their distribution
is biased to black or white. It calculates the local
variations present in the gray level image. High
contrast values are expected for heavy textures and
low for smooth, soft textures; uniform bonding results
in smooth textures. Roughness (Frgh) feature is given
by simply summing the coarseness and contrast
measures: Frgh=Fcrs+Fcon. Highly bonded structures
will have lower coarsness, contrast, roughness.
Compactness is a characteristics quantity by
calculating image or region’s area and perimeter, it
expresses the complex degree of shape. Using this
parameter the object can be extracted from the
background, which can be extended to extract the
discontinuities, pores or voids. Higher the bonding,
higher the compactness. Porosity describes voids
present in a sturcture. The voids between the particles
were occupied by the furnance atmosphere. The
vacuum created during combustion pushes the air out
of the carbon-epoxy particles which results in
pores.The porosity should be minimum for better
conductivity and strength.
Morphological analysis of SEM images
SEM image helps in characterizing physical
properties such as morphology, shape, size and
distribution of materials at the micro scale level. This
approach is based upon logical relations between
pixels, rather than arithmetic relations, and can extract
geometric features by choosing the suitable
structuring shape as a probe. In industrial vision
applications, morphology can be used to implement
fast object recognition, image enhancement,
segmentation, and defect inspection.
Morphological analysis remains a predominant
technique for determining discontinuous region and
the area covered by it. The specimen is said to be
homogeneous only if there is less number of
discontinuities; where these discontinuities occur
mainly due to improper bonding, voids and pores due
to the release of large amount of gases during
combustion process. To determine the discontinuity; the
morphological operation is done using a disk shaped
structuring element (fSE ) with radius R represented by
Eq. (1). Let x=0; y=0; be the position of the centre pixel
of the structuring element with radius r=R where i and j
the rows and columns, respectively.
[ ] rjrrirjyixN ≤≤−∀≤≤−∀−+−= ;)()( 22
≤<
=else
rNiff SE
0
012
... (1)
Reconstruction-based opening and closing are more
effective in estimating foreground markers
(discontinuities). Morphological opening-by-
reconstruction (Iobr) is an erosion (fero) followed by a
morphological reconstruction (fmor-rec) given by Eq. (2)
),( SEEroderecmorobr fIfI −= ... (2)
Morphological erosion is given by Eq. (4)
),( SEeroErode fimagefI =
Let C be the convolution sum of fero
∑=ji
SE IfC,
)).(( ...(3)
=
=∑
else
fCifI
SE
Erode0
1 ... (4)
Reconstruction is a morphological transformation
involving two images and a structuring element. The
INDIAN J. ENG. MATER. SCI., AUGUST 2017
266
reconstruction of I from Ierode , is denoted by fmor-rec , is
defined by the following iterative procedure:
(i) Initialize h1 to be the marker image, Ierode.
(ii) Create the structuring element fSE using Eq. (1)
(iii) Repeat:
hk+1= fdil (hk, fSE) ∩ I
until hk+1= hk
(iv) fmor-rec = hk+1
where
),( SEdildilate fimagefI =
>
=else
CifI dilate
0
01
where C is the convolution sum of fdil derived
from Eq. (3). Erosion retains significant
discontinuities and the subsequent reconstruction
restores its original shape. Accuracy of this
restoration depends on the similarity between its
shape and that of the structuring element, hence
choosing the shape of the structuring element plays
a vital role. Discontinuities are generally irregular
and has no definite shape hence disk shaped
structuring element remains an optimum solution
for determining them.
The extracted discontinuities are then numbered
and the corresponding areas occupied by them are
determined. If the area covered by the
discontinuities is less, then the sample possess
excellent electrical and mechanical properties.
Results and Discussion
Carbons with 30% epoxy were thermo
gravimetrically analyzed (TGA) to find the
degradation characteristics. The composite produces a
gradual weight loss region as shown in Fig. 3. The
weight loss is fairly constant between 0-170°C and
the initial weight loss occurs at 170°C due to
evaporation of small amount of moisture content and
there is drastic reduction in weight after 204°C. From
the figure it is evident that there is no degradation
occurs at the working temperature of the fuel cells
(70°C-100°C).
During combustion sintering of carbon-epoxy
particles occur at their point of contact. The sintered
carbon-epoxy particles try to flow and fillup the
pores and void spaces. It might be persumed that
number of discontinuities, pores and voids in the
sample were due to incomplete sindering of the
particles and inability of them to flow and fill up
the air spaces completely.
Flexural strength and electrical conductivity
Table 4 shows the values of electrical
conductivity and flexural strength at various
temperatures at 20 bar pressure. From Table 4, it is
seen that electrical conductivity and flexural
strength increases as the temperature increases. The
conductivity and flexural strength is maximum at
190oC having value of 107 S/cm and 44 MPa,
respectively. The above result also satisfies the
technical target value defined by the United States
of America Department of Energy (DOE) which is
>100 S/cm and >25 MPa for electrical conductivity
and flexural strength respectively13
.
Figure 4 shows the SEM micrograph results for
the samples at (× 1000) magnification. SEM images
for the original samples were acquired and are
represented as sample1, sample2, sample3 for the
temperatures 170oC, 180
oC and 190
oC, respectively.
These images were further subjected to texture and
morphological analysis.
Texture analysis
Table 5 shows the extracted GLCM and Tamura
features for the SEM image of each sample. The
energy value is higher for sample 3 which shows
that carbon-epoxy composite is uniformly
distributed compared to the other samples. For
bonding of materials to be uniform the contrast
feature should be low while homogeneity should be
high. Comparatively sample 3 gives better values
for both the features, proving to exhibit good
properties. The minimal value for Tamura features
like coarseness, contrast and roughness of sample 3
shows that it has less notable spatial variations than
the other samples, which is evident for uniformity in its
structure. This uniform distribution in structure yields
uniform bonding thus leads to fewer discontinuities;
hence conductivity and flexural strength of sample 3 are
comparatively better.
Sintering between carbon and epoxy particles plays a
prominent role in deciding the bonding strength, and
hence it’s electrical and mechanical characteristics.
Values of compactness and porosity for sample 3 are
found to be minimum than the other samples.
PRAVIN et al.: CONDUCTIVITY ANALYSIS OF FUEL CELL - BIPOLAR PLATE
267
At temperature 190o, the sintering process was efficient
for the particles to flow and fill up the pores and voids
than at the lower temperatures. From these results it is
prominent that the nature of bonding is superior for
sample 3 (190oC).
Morphological analysis
Figures 5 and 6 show the results of morphological
analysis. Reconstruction-based opening and closing
are more effective than standard opening and closing
at removing small blemishes without affecting the
overall shapes of the objects. Regional maxima are
connected components of pixels with a constant
intensity value (discontinuities, voids, pores, etc.), and
whose external boundary pixels (non-defected areas)
all have a lower value. The regional maxima of
opening-closing by reconstruction are estimated to
obtain good foreground markers (discontinuities) and
these discontinuities are numerated and the area of
discontinuities for each sample is calculated.
Regional-maxima for samples 1 and 2 gives more
number of defects/discontinuities and hence results in
low flexural strength and conductivity with respect to
sample 3.
Calculating area of discontinuities
Figure 7 shows the discontinuity regions of SEM
image for sample 3, here the regions are numerated
and their respective area is estimated19
and given in
Table 6. The total number of discontinuities in sample
3 is 14 and the area is 5.4531e+06 (µm²) similarly the
discontinuities for sample 2 is 39 and sample 1 is 57
and their respective areas are 1.3320e+07 (µm²) and
9.8535e+06 (µm²), respectively. Which shows that
number of discontinuity regions and its area in sample
3 is much lesser when compared to other samples.
Fig. 4 — SEM micrograph (a) Sample 1: Temp. 170oC; and Pr. 20 bar, (b) Sample 2: Temp. 180oC; and Pr. 20 bar, and (c) Sample 3:
Temp. 190oC; and Pr. 20 bar
Fig. 3 — Thermo-gravimetric analysis: Temperature degradation
curve
Table 4 — Optimization of molding pressure and temperature at
30 % resin content
Pressure
(MPa)
Temperature
(°C)
Flexural strength
(MPa)
Electrical conductivity
(Scm-1)
20
170 32 94
180 39 105
190 44 107
Table 5 — Results for texture analysis
Texture features Sample 1
170oC
Sample 2
180oC
Sample 3 190oC
GLCM output
Energy 0.7905 0.8303 0.9083
Contrast 0.0413 0.0293 0.0179
Correlation 0.7573 0.7926 0.7579
Homogenity 0.9794 0.9853 0.9910
Tamura output
Coarsness 0.2476 0.2159 0.1884
Contrast 1.1182 0.4206 0.2157
Roughness 1.3658 0.6365 0.4042
Compactness 0.6298 0.4669 0.4375
Porosity 14.1298 19.9524 10.0823
INDIAN J. ENG. MATER. SCI., AUGUST 2017
268
Otsu thresholiding of histogram
Otsu method is used to automatically perform
clustering-based image threshold20
. The algorithm
assumes that the image posses bi-modal histogram
with foreground pixels and background pixels. In
other words, it divides the histogram plot based on the
threshold value into high and low bonded regions.
This method goes over all the probable threshold
values (ranges between 0 and 255) and then
determines the pixels and measures the spread of
pixel levels on either side of the threshold value. For
each probable threshold value the sum of the two
variances multiplied by their corresponding weights
(occurance of gray levels) is determined. The
threshold value with minimum intra class variance is
selected. For the sample with ample high bonding
region the threshold value will be greater increasing
the background which is the defect free regions.
Fig. 5 — Regional maxima of opening-closing by reconstruction (from left to right sample 1, sample 2 and sample 3 respectively)
Fig. 6 — Regional maxima super imposed on original image (from left to right sample 1, sample 2 and sample 3, respectively)
Fig. 7 — Number of discontinuities are numerated (sample 3)
Table 6 — Finding area of each objects
Discontinuities Number of pixels Area (µm²)
1 493 0.1880
2 646 0.2464
3 734 0.2800
4 584 0.2227
5 486 0.1854
6 1027 0.3917
7 3315 1.2644
8 267 0.1018
9 2273 0.8670
10 619 0.2361
11 1250 0.4768
12 388 0.1480
13 1043 0.3978
14 1150 0.4386
Total area= 5.4531e+06
(µm²)
PRAVIN et al.: CONDUCTIVITY ANALYSIS OF FUEL CELL - BIPOLAR PLATE
269
Histogram of Otsu thresholding technique is
applied to all the samples and the plot is given in Fig.
8. The threshold values are estimated to be 63, 96 and
111 for the samples respectively. Sample 3
(Temp. 190oC and Pr. 20 bar) has higher threshold
thus highly bonded region is more when compared to
sample 1 and sample 2.
Conclusions
In this work, the internal structures of composite
bipolar plate are characterized by SEM image
Analysis and its results are validated mechanically
and electrically. The composite plates are prepared at
170oC, 180
oC and 190
oC
temperatures at pressure 20
bar. The experimental result shows that the maximum
electrical conductivity 107 S/cm obtained at 190°C,
with flexural strength of 44 MPa. The SEM image is
obtained for each sample, to analyse its internal
structure by texture and morphology. The internal
structure is characterized by features like porosity,
solidity and textural descriptors from Haralick and
Tamura. Morphological analysis is applied to
determine the discontinuous regions and the area
covered by it. The image processing based analysis
shows that the internal structure is more homogenous
with fewer discontinuities for the sample prepared at
190°C temperature, and hence it has better conductivity
and flexural strength which validates the experiments
conducted mechanically and electrically. This work can
be an optimal solution for applications that analyzes
relational conductivity and mechanical strength.
Acknowledgement This project is supported by University Grant
Commission (UGC), New Delhi (Grant No.: F.42-
897/2013SR).
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Fig. 8 — Otsu thresholding based histogram plot (from left to right sample 1, sample 2 and sample 3, respectively)